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Finding the Third Proportional to 864,628 and 1,381,261

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Solution

The third proportional to 864,628 and 1,381,261 is: 2,206,592.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,628 : 1,381,261 = 1,381,261 : x
  2. Step 2: Convert to fraction form
    864,628/1,381,261 = 1,381,261/x
  3. Step 3: Cross multiply
    864,628x = 1,381,261 × 1,381,261
  4. Step 4: Simplify right side
    864,628x = 1,907,881,950,121
  5. Step 5: Solve for x
    x = 1,907,881,950,121/864,628
  6. Step 6: Final answer
    x = 2,206,592.84

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.